MATHEMATICS COLLEGE

F (x) = 2x^2 - 4x + 1​

Answers

Answer 1
Answer:

i don't know specifically what you are looking for but:

Direction: Opens Up

Vertex: (1, -1)

Axis of Symmetry: x = 1

and i attached the graph
Answer 2
Answer:

Answer:  x = √(((-F - 4)^2)/16 - 1/2) + (F + 4)/4 or x = (F + 4)/4 - √(((-F - 4)^2)/16 - 1/2)

Step-by-step explanation:

Solve for x:

F x = 2 x^2 - 4 x + 1

Subtract 2 x^2 - 4 x + 1 from both sides:

-2 x^2 + F x + 4 x - 1 = 0

Collect in terms of x:

-1 + x (F + 4) - 2 x^2 = 0

Divide both sides by -2:

1/2 + 1/2 x (-F - 4) + x^2 = 0

Subtract 1/2 from both sides:

1/2 x (-F - 4) + x^2 = -1/2

Add 1/16 (-F - 4)^2 to both sides:

1/16 (-F - 4)^2 + 1/2 x (-F - 4) + x^2 = 1/16 (-F - 4)^2 - 1/2

Write the left hand side as a square:

(1/4 (-F - 4) + x)^2 = 1/16 (-F - 4)^2 - 1/2

Take the square root of both sides:

1/4 (-F - 4) + x = √(1/16 (-F - 4)^2 - 1/2) or 1/4 (-F - 4) + x = -√(1/16 (-F - 4)^2 - 1/2)

Subtract 1/4 (-F - 4) from both sides:

x = √(((-F - 4)^2)/16 - 1/2) + (F + 4)/4 or 1/4 (-F - 4) + x = -√(1/16 (-F - 4)^2 - 1/2)

Subtract 1/4 (-F - 4) from both sides:

Answer: x = √(((-F - 4)^2)/16 - 1/2) + (F + 4)/4 or x = (F + 4)/4 - √(((-F - 4)^2)/16 - 1/2)

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Please help me, 15 points

9+9+3=21
1234+1234+1234= 30
9+1224+12=?

Answers

Answer:

Mathematically,

9+1224+12 = 1245

But, Logically, here:

9+1224+12 = 21

Answer:

9+1224+12=1245

Hope this helps

What is a description of an undefined term?

Answers

Answer:

In Geometry, we have several undefined terms: point, line and plane. From these three undefined terms, all other terms in Geometry can be defined. In Geometry, we define a point as a location and no size. ... And the third undefined term is the line.

Step-by-step explanation:

Paul owns a mobile wood-fired pizza oven operation. A couple of his clients complained about his dough at a recent catering, so he changed his dough to a newer product. Using the old dough, there were 6 complaints out of 385 pizzas. With the new dough, there were 16 complaints out of 340 pizzas. Let p 1 be the proportion of customer complaints with the old dough and p 2 be the proportion of customer complaints with the new dough. State the competing hypotheses to determine if the proportion of customer complaints using the old dough is less than the proportion of customer complaints using the new dough g

Answers

Answer:

z=\frac{0.0156-0.0471}{\sqrt{0.0303(1-0.0303)((1)/(385)+(1)/(340))}}=-2.469    

Now we can calculate the p value with this probability:

p_v =P(Z<-2.469)= 0.0068    

Since the p value is a very low value and using any significance level 5% or 10% we have enough evidence to reject the null hypothesis and we can conclude that the true proportion of customer complaints using the old dough is less than the proportion of customer complaints using the new dough.

Step-by-step explanation:

Information provided

X_(1)=6 represent the complaints with the old dough

X_(2)=16 represent the complaints with the new dough

n_(1)=385 sample 1 selected  

n_(2)=340 sample 2 selected  

p_(1)=(6)/(385)=0.0156 represent the proportion of complaints with the old dough

p_(2)=(16)/(340)=0.0471 represent the proportion of complaints with the new dough

\hat p represent the pooled estimate of p

z would represent the statistic

p_v represent the value

Hypothesis to test

We want to verify if the proportion of customer complaints using the old dough is less than the proportion of customer complaints using the new dough, the system of hypothesis would be:    

Null hypothesis:p_(1) \geq p_(2)    

Alternative hypothesis:p_(1) < p_(2)    

The statitsic is given by:

z=\frac{p_(1)-p_(2)}{\sqrt{\hat p (1-\hat p)((1)/(n_(1))+(1)/(n_(2)))}}   (1)  

Where \hat p=(X_(1)+X_(2))/(n_(1)+n_(2))=(6+16)/(385+340)=0.0303  

Replacing the info provided we got:

z=\frac{0.0156-0.0471}{\sqrt{0.0303(1-0.0303)((1)/(385)+(1)/(340))}}=-2.469    

Now we can calculate the p value with this probability:

p_v =P(Z<-2.469)= 0.0068    

Since the p value is a very low value and using any significance level 5% or 10% we have enough evidence to reject the null hypothesis and we can conclude that the true proportion of customer complaints using the old dough is less than the proportion of customer complaints using the new dough.

you order two tacos and a salad. The salad cost $2.50. You leave a three-dollar tip. Theres is no sales tax. How much does one taco cost? Show your work.

Answers

Answer:

$5.50

Step-by-step explanation:

2.50+3.00=5.50

Bruh monky ididididkdkdkd

What is the value of 2.57 1.75

Answers

Answer:

2.57 - 1.75 = 0.82

Step-by-step explanation:

Let us assume that we need to find the value of 2.57 - 1.75 i.e. we need to subtract 1.75 from 2.57. It can be done as follows :

The first number is 2.57 and other no is 1.75.

In 2.57, 2 is in ones place, 5 is in tenths place and 7 is in hundredths place.

In 1.75, 1 is in ones place, 7 is in tenths place and 5 is in hundredths place.

Subraction :

  2.57

-  1.75

= 0.82

Hence, the value of 2.57 - 1.75 is 0.82

Difficult Math. Up to the challenge?

Answers

Answer:

We have the three angles of a triangle as an equation, so we can add them together, and they equal 180.

So:

4x+10+12x-6+3x+5= 19x+9=180

19x=171 ... so: x= 171/19 = 9.

So ABC = 102 .. Obtuse angle

BAC = 46 .. Acute angle

BCA = 32 .. Acute Angle

Edit:

Angle 1 = 180 - BAC = 180 - 46 = 134

Angle 2= 180 - ABC = 180 - 102 = 78
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